Question

How to simplify this?

\[ \frac{-\sqrt{3} - 1}{1+(-\sqrt{3})*1}
\]

Answer 1

I thought @TheSmartOne solved it earlier !?

Answer 2

Hint:
use identities
\(a^2-b^2 = (a+b)(a-b), and\)
\((a+b)^2 = a^2+2ab+b^2\)
then rationalize the denominator.

Answer 3

\[ \frac{-\sqrt{3} - 1}{1+(-\sqrt{3})*1}\]
\[ \frac{-\sqrt{3} - 1}{1-\sqrt{3}}\]
\[ \frac{-\sqrt{3} - 1}{1-\sqrt{3}} * \frac{1-\sqrt{3}} {1-\sqrt{3}} \]


\[ \frac{2}{2(2-\sqrt{3})} \]

Is this correct??